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Finding the Fourth Proportional to 842.00, 1,260.95 and 685.13

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Solution

The fourth proportional to 842.00, 1,260.95 and 685.13 is: 1,026.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.00 : 1,260.95 = 685.13 : x
  2. Step 2: Convert to fraction form
    842.00/1,260.95 = 685.13/x
  3. Step 3: Cross multiply
    842.00x = 1,260.95 × 685.13
  4. Step 4: Simplify right side
    842.00x = 863,904.94
  5. Step 5: Solve for x
    x = 863,904.94/842.00
  6. Step 6: Final answer
    x = 1,026.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.